Download - Ignacio School District

Standard: 2
Benchmark : 12 Use DeMoivre's Theorem(a) to find powers and roots of
complex numbers and(b) to solve polynomial equations.
Step 1
Beginning
Define DeMoivre’s
theorem as it
applies to powers
and roots of
complex numbers.
Define DeMoivre’s
theorem as it
applies to solving
polynomial
equations.
Step 2
Developing
Step 3
Competent
Use DeMoivre’s
theorem to solve
complex number
problems.
Apply DeMoivre’s
theorem in word
problems involving
complex numbers.
Use DeMoivre’s
theorem to solve
polynomial
equations.
Apply DeMoivre’s
theorem in word
problems involving
polynomial
equations.
Step 4
Excelling
Create and solve
complex number
problems using
DeMoivre’s
Theorem
Create and solve
polynomial
equation problems
using DeMoivre’s
Theorem
Day 1 and 2
Define DeMoivre’s theorem as it applies to powers and roots of complex numbers.
Define DeMoivre’s theorem as it applies to solving polynomial equations.
.
Day 3 and 4
Use DeMoivre’s theorem to solve complex number problems.
Use DeMoivre’s theorem to solve polynomial equations.
.
Day 5 and 6
Apply DeMoivre’s theorem in word problems involving complex numbers.
Apply DeMoivre’s theorem in word problems involving polynomial equations.
Day 7 and 8
Create and solve complex number problems using DeMoivre’s Theorem
Create and solve polynomial equation problems using DeMoivre’s Theorem
Day 9
Take the unit test.
Step
Videos
http://www.youtube.com/watch?v=Sf9gEzcVZkU
http://www.youtube.com/watch?v=NrwWv9JHdI4
http://www.youtube.com/watch?v=Zha7ZF8aVhU (Trig form of a +bi)
Examples and Practice
http://www.cliffsnotes.com/study_guide/De-Moivres-Theorem.topicArticleId11658,articleId-11634.html
http://mathsci.ucd.ie/courses/math1200/algebra/algebranotes8-3.pdf